Translations
Define Congruent
Congruent in math means to have the same shape and size.
What is a rigid transformation?
A rigid transformation is a translation, reflection, rotation, or any sequence of the three.
Rigid transformations take lines to lines, angles to angles of the same measure, and segments to segments of the same length.
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
What is (7,16)?
What features are true about a rigid transformation? Name 3
- Same corresponding segment lengths
- Same corresponding angles
- Same area
- Same perimeter
Jake turns 90 degrees to the right, and then turns 450 degrees left. Does he end up back in the same spot?
Yes
Find the new coordinates of (-8,6) if you translate the point eight units right and six units down.
What is (0,0)
Write the positive and negative notation of point (x,y) after it is reflected over the y-axis.
What is (-x,y)?
Write the notation of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
Figure ABCD is rotated and reflected on a coordinate grid. Is the new image A'B'C'D Congruent?
Yes, a rigid transformation maintains an image's shape, size, angles, etc.
Peter moves 15 steps forward on a game board and 10 steps to the right. What moves will place him back at the start?
10 steps left, 15 steps back
A point started at (3,-6). What is the translation directions if the point translates and lands on (11,-2?)
What is a translation of 8 units to the right and 4 units up?
A picture with one point (-3,4) was reflected over the line y-axis. What should be the new coordinates of the point?
(3,4)
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
What is (1,6)?
A triangle is made up of 3 angles that add to 180 degrees.
Triangle A has angles that are 60 degrees, 80 degrees, and a missing degree.
Triangle B has two matching angles and an angle that is 80 degrees.
Are these images congruent?
An image starts in quadrant 1. It is reflected down over the x-axis, and left over the y-axis.
What quadrant is the image in now?
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
Graph rectangle DEFG after a reflection over the x-axis. D(5,5) E(5,8) F(8,8) G(8,5)
What is D'(5,-5), E'(5,-8), F'(8,-8), G'(8,-5)?
Draw a congruent quadrilateral that goes under one transformation
An image starts in quadrant 3. It is reflected up over the x-axis, andright over the y-axis.
What moves can we make to bring it back to its original spot?
Reflect left over the y-axis and down over the x-axis.